Estimation of Hierarchical Archimedean Copulas as a Shortest Path Problem

被引:2
|
作者
Matsypura, Dmytro [1 ]
Neo, Emily [1 ]
Prokhorov, Artem [1 ,2 ]
机构
[1] Univ Sydney, Sch Business, Sydney, NSW 2006, Australia
[2] St Petersburg State Univ, St Petersburg 199034, Russia
基金
俄罗斯科学基金会;
关键词
Network flow problem; Copulas; DISTRIBUTIONS;
D O I
10.1016/j.econlet.2016.10.034
中图分类号
F [经济];
学科分类号
02 ;
摘要
We formulate the problem of finding and estimating the optimal hierarchical Archimedean copula as an amended shortest path problem. The standard network flow problem is amended by certain constraints specific to copulas, which limit scalability of the problem. However, we show in dimensions as high as twenty that the new approach dominates the alternatives which usually require recursive estimation or full enumeration. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:131 / 134
页数:4
相关论文
共 50 条
  • [1] On the structure and estimation of hierarchical Archimedean copulas
    Okhrin, Ostap
    Okhrin, Yarema
    Schmid, Wolfgang
    [J]. JOURNAL OF ECONOMETRICS, 2013, 173 (02) : 189 - 204
  • [2] On structure, family and parameter estimation of hierarchical Archimedean copulas
    Gorecki, Jan
    Hofert, Marius
    Holena, Martin
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2017, 87 (17) : 3261 - 3324
  • [3] Properties of hierarchical Archimedean copulas
    Okhrin, Ostap
    Okhrin, Yarema
    Schmid, Wolfgang
    [J]. STATISTICS & RISK MODELING, 2013, 30 (01) : 21 - 53
  • [4] Outer power transformations of hierarchical Archimedean copulas: Construction, sampling and estimation
    Gorecki, Jan
    Hofert, Marius
    Okhrin, Ostap
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2021, 155
  • [5] Archimedean copulas with applications to estimation
    Furmanczyk, Konrad
    [J]. STATISTICAL METHODS AND APPLICATIONS, 2016, 25 (02): : 269 - 283
  • [6] On the consistency of an estimator for hierarchical Archimedean copulas
    Gorecki, Jan
    Hofert, Marius
    Holena, Martin
    [J]. MATHEMATICAL METHODS IN ECONOMICS (MME 2014), 2014, : 239 - 244
  • [7] Structure Determination and Estimation of Hierarchical Archimedean Copulas Based on Kendall Correlation Matrix
    Gorecki, Jan
    Holena, Martin
    [J]. NEW FRONTIERS IN MINING COMPLEX PATTERNS, NFMCP 2013, 2014, 8399 : 132 - 147
  • [8] Constructing hierarchical Archimedean copulas with Levy subordinators
    Hering, Christian
    Hofert, Marius
    Mai, Jan-Frederik
    Scherer, Matthias
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2010, 101 (06) : 1428 - 1433
  • [9] Composite likelihood estimation method for hierarchical Archimedean copulas defined with multivariate compound distributions
    Cossette, Helene
    Gadoury, Simon-Pierre
    Marceau, Etienne
    Robert, Christian Y.
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2019, 172 : 59 - 83
  • [10] Structure and estimation of Levy subordinated hierarchical Archimedean copulas (LSHAC): Theory and empirical tests
    Zhu, Wenjun
    Wang, Chou-Wen
    Tan, Ken Seng
    [J]. JOURNAL OF BANKING & FINANCE, 2016, 69 : 20 - 36